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Finding the Fourth Proportional to 380.49, 567.32 and 374.72

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Solution

The fourth proportional to 380.49, 567.32 and 374.72 is: 558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.49 : 567.32 = 374.72 : x
  2. Step 2: Convert to fraction form
    380.49/567.32 = 374.72/x
  3. Step 3: Cross multiply
    380.49x = 567.32 × 374.72
  4. Step 4: Simplify right side
    380.49x = 212,586.15
  5. Step 5: Solve for x
    x = 212,586.15/380.49
  6. Step 6: Final answer
    x = 558.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.